Question

How do i find the other endpoint when the midpoint is (2, -4) and one endpoint is (-6, -9)

Answer 1

The coordinates of the other endpoint = (10, 1)

Step-by-step explanation

The midpoint of two coordinates is obtained by adding respective x-coordinates together and dividing by 2 and then doing similarly for the y-coordinate.

So, if the coordinates of the other endpoint is (x, y)

The two endpoints will be (-6, -9) and (x, y)

And the midpoint will be (2, -4)

We can then form equations for the x and y coordinates respectively.

For the x-coordinates

2 = ½(-6 + x)

Multiply both sides by 2

4 = -6 + x

We can rewrite this as

-6 + x = 4

x = 4 + 6

x = 10

For the y-coordinates

-4 = ½ (-9 + y)

Multiply both sides by 2

-8 = -9 + y

We can rewrite this as

-9 + y = -8

y = -8 + 9

y = 1

So, the coordinates of the other endpoint is (x, y) = (10, 1)

Hope this Helps!!!